17999320800 has 144 divisors (see below), whose sum is σ = 58976975232. Its totient is φ = 4767936000.

The previous prime is 17999320777. The next prime is 17999320819. The reversal of 17999320800 is 802399971.

It is a super-2 number, since 2×17999320800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 17999320800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337567 + ... + 387233.

It is an arithmetic number, because the mean of its divisors is an integer number (409562328).

Almost surely, 2^17999320800 is an apocalyptic number.

17999320800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17999320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29488487616).

17999320800 is an abundant number, since it is smaller than the sum of its proper divisors (40977654432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17999320800 is a wasteful number, since it uses less digits than its factorization.

17999320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49841 (or 49828 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The spelling of 17999320800 in words is "seventeen billion, nine hundred ninety-nine million, three hundred twenty thousand, eight hundred".